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470736240 = 243513312157
BaseRepresentation
bin11100000011101…
…101110101110000
31012210202212201120
4130003231311300
51431002024430
6114413302240
714444122602
oct3403556560
91183685646
10470736240
1122179a117
12111794980
13766aa270
1446739172
152b4d7610
hex1c0edd70

470736240 has 240 divisors, whose sum is σ = 1634207904. Its totient is φ = 111421440.

The previous prime is 470736199. The next prime is 470736241. The reversal of 470736240 is 42637074.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (470736241) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2998242 + ... + 2998398.

Almost surely, 2470736240 is an apocalyptic number.

470736240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 470736240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (817103952).

470736240 is an abundant number, since it is smaller than the sum of its proper divisors (1163471664).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

470736240 is a wasteful number, since it uses less digits than its factorization.

470736240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 33.

The square root of 470736240 is about 21696.4568535971. The cubic root of 470736240 is about 777.9037732089.

The spelling of 470736240 in words is "four hundred seventy million, seven hundred thirty-six thousand, two hundred forty".